题目
题型:解答题难度:一般来源:不详
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818064023-29074.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818064023-49465.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818064023-33315.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818064024-94958.png)
(1)求m的值
(2)若函数g(x)在区间[0,1]上是单调减函数,求实数
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818064024-76826.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818064024-75152.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818064024-61954.png)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818064024-48026.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818064025-57346.png)
可得:
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818064025-70406.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818064025-55785.png)
解得:
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818064024-75152.png)
(Ⅱ)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818064025-40331.png)
令
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818064025-91230.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818064025-99409.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818064026-71476.png)
因为函数
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818064026-34649.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818064026-89276.png)
所以函数
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818064026-84300.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818064026-27748.png)
而函数
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818064027-95937.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818064027-55217.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818064024-61954.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818064016-74494.gif)
(1)求函数
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818064017-52658.gif)
(2)若函数
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818064017-52658.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818064011-66404.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818064012-19261.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818064012-56685.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818064012-64490.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818064012-46156.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818064012-50698.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818064013-43191.gif)
(1)判断函数
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818064011-66404.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818064012-19261.gif)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818064013-12875.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818064013-99289.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818064005-94206.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818064005-44636.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818064006-65625.gif)
(1)求函数
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818064006-18383.gif)
(2)当
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818064006-95440.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818064006-18383.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818064003-48562.gif)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818064003-11001.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818064003-86001.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818064003-86001.gif)
(2)用函数单调性定义证明
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818064003-86001.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818064003-58884.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818063957-95373.gif)
(1)求函数
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818063958-95782.gif)
(2)讨论函数
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818063958-95782.gif)
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